Finite Group Databasebeta

← Group #14416507

Character table — Group #14416507

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111222222222222224444444444444444888888888888888888121212121212121212121212202020202020202024242424303030304040606011112222222222222244444444444444448888888888888888881212121212121212121212122020202020202020242424243030303040406060
order1222344556661010101010102212121515202020203030303030306610101010303030303030303060606060448840404040404040402288242424242020202044446644222264410106661010101010102212123030202020203030303030306610101010303030303030303060606060448840404040404040402288242424242020202044446644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1
χ6111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ7111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1111111-1-1-1-11111-1-1-1-1111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1111111-1-1-1-11111-1-1-1-1
χ911-1-11-1111-1-11-1-111-1-11-1-111111-1-1-1-1-1-1111-111-1-11111-1-1-1-111-1-1i−ii−iiiii−i−i−i−i1-11-111-1-1ii−i−ii−ii−i1-1i−i11-1-11-1111-1-11-1-111-1-11-1-111111-1-1-1-1-1-1111-111-1-11111-1-1-1-111-1-1i−ii−iiiii−i−i−i−i1-11-111-1-1ii−i−ii−ii−i1-1i−i
χ1011-1-11-1111-1-11-1-111-1-11-1-111111-1-1-1-1-1-1111-111-1-11111-1-1-1-111-1-1i−ii−iiiii−i−i−i−i-11-11-1-111ii−i−i−ii−ii-11−ii11-1-11-1111-1-11-1-111-1-11-1-111111-1-1-1-1-1-1111-111-1-11111-1-1-1-111-1-1i−ii−iiiii−i−i−i−i-11-11-1-111ii−i−i−ii−ii-11−ii
χ1111-1-11-1111-1-11-1-111-1-11-1-111111-1-1-1-1-1-1111-111-1-11111-1-1-1-111-1-1−ii−ii−i−i−i−iiiii1-11-111-1-1−i−iii−ii−ii1-1−ii11-1-11-1111-1-11-1-111-1-11-1-111111-1-1-1-1-1-1111-111-1-11111-1-1-1-111-1-1−ii−ii−i−i−i−iiiii1-11-111-1-1−i−iii−ii−ii1-1−ii
χ1211-1-11-1111-1-11-1-111-1-11-1-111111-1-1-1-1-1-1111-111-1-11111-1-1-1-111-1-1−ii−ii−i−i−i−iiiii-11-11-1-111−i−iiii−ii−i-11i−i11-1-11-1111-1-11-1-111-1-11-1-111111-1-1-1-1-1-1111-111-1-11111-1-1-1-111-1-1−ii−ii−i−i−i−iiiii-11-11-1-111−i−iiii−ii−i-11i−i
χ1311-1-11-1111-1-11-1-111-1-1-11-111111-1-1-1-1-1-111-11-1-111-1-1-1-1111111-1-1i−i−ii−i−i−i−iiiii1-1-11-1-111ii−i−ii−ii−i1-1−ii11-1-11-1111-1-11-1-111-1-1-11-111111-1-1-1-1-1-111-11-1-111-1-1-1-1111111-1-1i−i−ii−i−i−i−iiiii1-1-11-1-111ii−i−ii−ii−i1-1−ii
χ1411-1-11-1111-1-11-1-111-1-1-11-111111-1-1-1-1-1-111-11-1-111-1-1-1-1111111-1-1i−i−ii−i−i−i−iiiii-111-111-1-1ii−i−i−ii−ii-11i−i11-1-11-1111-1-11-1-111-1-1-11-111111-1-1-1-1-1-111-11-1-111-1-1-1-1111111-1-1i−i−ii−i−i−i−iiiii-111-111-1-1ii−i−i−ii−ii-11i−i
χ1511-1-11-1111-1-11-1-111-1-1-11-111111-1-1-1-1-1-111-11-1-111-1-1-1-1111111-1-1−iii−iiiii−i−i−i−i1-1-11-1-111−i−iii−ii−ii1-1i−i11-1-11-1111-1-11-1-111-1-1-11-111111-1-1-1-1-1-111-11-1-111-1-1-1-1111111-1-1−iii−iiiii−i−i−i−i1-1-11-1-111−i−iii−ii−ii1-1i−i
χ1611-1-11-1111-1-11-1-111-1-1-11-111111-1-1-1-1-1-111-11-1-111-1-1-1-1111111-1-1−iii−iiiii−i−i−i−i-111-111-1-1−i−iiii−ii−i-11−ii11-1-11-1111-1-11-1-111-1-1-11-111111-1-1-1-1-1-111-11-1-111-1-1-1-1111111-1-1−iii−iiiii−i−i−i−i-111-111-1-1−i−iiii−ii−i-11−ii
χ172222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+52000000002222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+5200000000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-21+521+521−521−521+521+521−521−52000000001+521−521+521−52000000002222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-21+521+521−521−521+521+521−521−52000000001+521−521+521−5200000000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+5222-2-21+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+52000000002222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+5222-2-21+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+5200000000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−52000000002222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−5200000000
χ212222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−52000000002222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−5200000000
χ222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-21−521−521+521+521−521−521+521+52000000001−521+521−521+52000000002222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-21−521−521+521+521−521−521+521+52000000001−521+521−521+5200000000
χ232222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−5222-2-21−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−52000000002222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−5222-2-21−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−5200000000
χ242222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+52000000002222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+5200000000
χ2522222-2-22222222222200-2-222-2-2-2-222222200000000000000-2-2-2-200000000000000000000000022-2-2000022222-2-22222222222200-2-222-2-2-2-222222200000000000000-2-2-2-200000000000000000000000022-2-20000
χ2622222-2-22222222222200-2-222-2-2-2-222222200000000000000-2-2-2-2000000000000000000000000-2-222000022222-2-22222222222200-2-222-2-2-2-222222200000000000000-2-2-2-2000000000000000000000000-2-2220000
χ272222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000002222-1-1-1-100000000-1-1002222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000002222-1-1-1-100000000-1-100
χ282222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-211110000000011002222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-21111000000001100
χ292222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-111-2-2-2-211111111-1-1-1-100000000000022-2-2111100000000-1-1002222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-111-2-2-2-211111111-1-1-1-100000000000022-2-2111100000000-1-100
χ302222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-111-2-2-2-211111111-1-1-1-1000000000000-2-222-1-1-1-10000000011002222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-111-2-2-2-211111111-1-1-1-1000000000000-2-222-1-1-1-1000000001100
χ3122-2-222-222-2-22-2-222-2-2002-222-2-222-2-2-2-22200000000000000-2-2220000000000000000000000002i−2i−2i2i000022-2-222-222-2-22-2-222-2-2002-222-2-222-2-2-2-22200000000000000-2-2220000000000000000000000002i−2i−2i2i0000
χ3222-2-222-222-2-22-2-222-2-2002-222-2-222-2-2-2-22200000000000000-2-222000000000000000000000000−2i2i2i−2i000022-2-222-222-2-22-2-222-2-2002-222-2-222-2-2-2-22200000000000000-2-222000000000000000000000000−2i2i2i−2i0000
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χ1644-4-44-200442-2244-4-4-4-40000-2-200002-22-2220000000000000000000000000000000000i6−i6−i6i6000000000000-444-4200-4-4-22-2-4-444440000220000-22-22-2-20000000000000000000000000000000000−i6i6i6−i6000000000000
χ1658-88-8-400−2−25−2+25-4442+252−252+252−25−2−25−2+2500001+51−500001+5−1−51−5−1+5−1−5−1+500000000000000000000000000000000000000000000000000-88-884002+252−254-4-4−2−25−2+25−2−25−2+252+252−250000−1−5−1+50000−1−51+5−1+51−51+51−500000000000000000000000000000000000000000000000000
χ1668-88-8-400−2+25−2−25-4442−252+252−252+25−2+25−2−2500001−51+500001−5−1+51+5−1−5−1+5−1−500000000000000000000000000000000000000000000000000-88-884002−252+254-4-4−2+25−2−25−2+25−2−252−252+250000−1+5−1−50000−1+51−5−1−51+51−51+500000000000000000000000000000000000000000000000000
χ1678-8-88-400−2−25−2+254-44−2−25−2+252+252−252+252−2500001+51−50000−1−51+5−1+51−5−1−5−1+500000000000000000000000000000000000000000000000000-888-84002+252−25-44-42+252−25−2−25−2+25−2−25−2+250000−1−5−1+500001+5−1−51−5−1+51+51−500000000000000000000000000000000000000000000000000
χ1688-8-88-400−2+25−2−254-44−2+25−2−252−252+252−252+2500001−51+50000−1+51−5−1−51+5−1+5−1−500000000000000000000000000000000000000000000000000-888-84002−252+25-44-42−252+25−2+25−2−25−2+25−2−250000−1+5−1−500001−5−1+51+5−1−51−51+500000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.